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Sever21 [200]
3 years ago
14

a student randomly chooses one pen from a box containing 1 black, 3 red, and 6 blue pens. what is the probability that the stude

nt chooses a blue pen
Mathematics
1 answer:
Margarita [4]3 years ago
8 0

Answer:

6/10 probability of choosing a blue pen

Step-by-step explanation:

There are 10 pens in the box and there are 6 blue pens. the probability is 6/10.

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Yahoo creates a test to classify emails as spam or not spam based on the contained words. This test accurately identifies spam (
Amiraneli [1.4K]

Answer and Step-by-step explanation:

The computation is shown below:

Let us assume that

Spam Email be S

And, test spam positive be T

Given that

P(S) = 0.3

P(\frac{T}{S}) = 0.95

P(\frac{T}{S^c}) = 0.05

Now based on the above information, the probabilities are as follows

i. P(Spam Email) is

= P(S)

= 0.3

P(S^c) =  1 - P(S)

= 1 - 0.3

= 0.7

ii. P(\frac{S}{T}) = \frac{P(S\cap\ T}{P(T)}

= \frac{P(\frac{T}{S}) . P(S) }{P(\frac{T}{S}) . P(S) + P(\frac{T}{S^c}) . P(S^c) }

= \frac{0.95 \times 0.3}{0.95 \times 0.3 + 0.05 \times 0.7}

= 0.8906

iii. P(\frac{S}{T^c}) = \frac{P(S\cap\ T^c}{P(T^c)}

= \frac{P(\frac{T^c}{S}) . P(S) }{P(\frac{T^c}{S}) . P(S) + P(\frac{T^c}{S^c}) . P(S^c) }

= \frac{(1 - 0.95)\times 0.3}{ (1 -0.95)0.95 \times 0.3 + (1 - 0.05) \times 0.7}

= 0.0221

We simply applied the above formulas so that the each part could come

8 0
2 years ago
What is the area of this figure?<br><br> A.49.5 in²<br> B.66.5 in²<br> C.84 in²<br> D.91 in²
aliya0001 [1]
The area of a trapezoid with base lengths 7 in and 19 in is given by
  A = (1/2)(b1 + b2)h
  A = (1/2)(7 +19)·7 = 91

The appropriate choice is
  D. 91 in²


_____
It can also be figured by adding the area of the 7 in square (49 in²) to the area of the 7×12 in right triangle (42 in²).
3 0
2 years ago
Read 2 more answers
Kelly needs to order lunch for orders 6 people at a business meeting. Her menu choices are chicken salad for a cost of $5 per pe
mrs_skeptik [129]

Answer:

She would be able to buy

4 Chicken Salads &

2 Egg Salads

Step-by-step explanation:

4x5=20

leaving 8 dollars

2x4=8

8 0
2 years ago
Read 2 more answers
What is a1? what is d? what’s the equation? what is a7? what is a59?
Zina [86]
Answer:

a1 = 2

d = 3

an = 2 + (n - 1) * 3

a7 = 20

a59 = 176

Steps:

a1 is the initial value (when n equals 1), and since there are 2 crosses, it is 2.

d is the added value to each amount of crosses. And since the second amount is 5 and the third amount is 8, we can determine that each n is adding 3 crosses, therefore making d = 3.

The equation is simply plugging in the values for a1 and d.

A7 is simply plugging in 7 for n in the equation and solving for it. So;

a7 = 2 + (7 - 1) * 3

a7 = 2 + 6 * 3

a7 = 2 + 18

a7 = 20

And same thing as the last for 59 except substitute 59 in for where you put 7;

a59 = 2 + (59 - 1) * 3

a59 = 2 + 58 * 3

a59 = 2 + 174

a59 = 176
8 0
2 years ago
Read 2 more answers
Can u help me pls <br>I will choose the best one <br>​
boyakko [2]

Answer:

12 and 30

Step-by-step explanation:

I think the best answer is 12 and 30.

I hope it will help u...

4 0
2 years ago
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